Nonnegatively curved manifolds with souls of codimension 2

DOI10.4310/jdg/1214442007zbMath0654.53048OpenAlexW1506744647WikidataQ115183785 ScholiaQ115183785MaRDI QIDQ1108594

Gerard Walschap

Publication date: 1988

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214442007

zbMATH Keywords

flat normal bundlesubmersionnonnegative sectional curvaturesoul

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (15)

A condition for positivity of curvature ⋮ Twisted submersions in nonnegative sectional curvature ⋮ Connection metrics of nonnegative curvature on vector bundles ⋮ Metric foliations and curvature ⋮ The differential form spectrum of manifolds of positive curvature ⋮ Nonnegatively and positively curved invariant metrics on circle bundles ⋮ The dual foliation in open manifolds with nonnegative sectional curvature ⋮ The metric projection onto the soul ⋮ Local Rigidity of Symmetric Spaces ⋮ \(\Sigma\)-flat manifolds and Riemannian submersions ⋮ Nonnegatively curved Alexandrov spaces with souls of codimension two ⋮ Topology of codimension-one foliations of nonnegative curvature ⋮ Index theory and deformations of open nonnegatively curved manifolds ⋮ Open manifolds of nonnegative curvature ⋮ Splitting theorems for nonnegatively curved open manifolds with large ideal boundary

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